Testing over the boundary interface for the nonconforming discretization of the Electric-Field Integral Equation

Method-of-moment (MoM) implementations of the Electric-field Integral Equation (EFIE) in the scattering analysis of infinitely long (2D) or arbitrarily shaped (3D) conductors have traditionally required, respectively, piecewise-continuous or divergence-conforming basis functions. Recently, nonconforming EFIE-discretizations, with no imposed interelement continuity of current, have been developed by testing the fields over small domains attached to the boundary interfaces, inside the body under analysis. This involves surface or volumetric testing integrals, respectively, for the 2D Transversal-Electric (TE) or 3D MoM-implementations of the EFIE. In this paper, we present new nonconforming discretizations of the EFIE that rely on testing integrals over the boundary interface around the object; namely, line-integrals or surface-integrals, respectively, for the 2D or 3D cases. We show with RCS results that these new, easier-to-implement, nonconforming discretizations of the EFIE provide improved accuracy with respect to the traditional conforming, piecewise-linear (2D) or RWG (3D), EFIE-implementations.